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Finding the Fourth Proportional to 287,472,485.80, 431,208,728.70 and 114,863,948.20

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Solution

The fourth proportional to 287,472,485.80, 431,208,728.70 and 114,863,948.20 is: 172,295,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,472,485.80 : 431,208,728.70 = 114,863,948.20 : x
  2. Step 2: Convert to fraction form
    287,472,485.80/431,208,728.70 = 114,863,948.20/x
  3. Step 3: Cross multiply
    287,472,485.80x = 431,208,728.70 × 114,863,948.20
  4. Step 4: Simplify right side
    287,472,485.80x = 49,530,337,076,784,656
  5. Step 5: Solve for x
    x = 49,530,337,076,784,656/287,472,485.80
  6. Step 6: Final answer
    x = 172,295,922.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.